FLEX 6年生数学1年間（全4部構成のパート2）

I designed this course to provide a full-year math curriculum for homeschoolers, but it is also a great option for 5th, 6th or 7th graders attending traditional school who need a little extra support and practice in math (or older students needing to review or catch-up). Additionally, if you are new to homeschooling, it's a great way to make sure you've got math solidly covered (I've found math to be the trickiest subject to try to teach your own child!!) without a fixed time commitment or heavy financial burden!

A full year of rigorous, individualized mastery method 6th grade math curriculum without the stress or fixed time commitment of trying to schedule live meetings! This is the first session of a FLEXIBLE SCHEDULED year-long 6th grade mastery method math course. There are NO live meetings for this class. Pre-recorded videos, interactive google slide presentations and links to Nearpod lessons and review games will all be posted in the Outschool Classroom, along with weekly homework assignments from the workbook, and special interactive assignments such as math scavenger hunts and create-your-own-story-problems. I will respond individually to each student with detailed explanations and corrections to homework that is turned in. Because of the small class size (8 students maximum), individual attention and individualized instruction is guaranteed!  This is a self paced class with each week's learning materials posted in the classroom at the beginning of the week.

**For this series, students should come with a solid number sense for both whole numbers and fractions (including comparing and finding equivalents) as well as performing basic operations (adding, subtracting, multiplying and dividing) on multi-digit numbers as well as fractions.  Specific to Part 2, students should have mastered the material of Part 1, which included: exponents as repeated multiplication, place value and its key relationship to exponents (powers of ten), decimal numbers (concept and adding and subtracting) and the metric measurement system. If your student missed Part 1, please contact me for placement. I may be offering an accelerated section of Part 1 for students who wish to catch up, or we can arrange private tutoring sessions before Part 2 begins.

In this second 8-week session of the series, we will begin by building on our previous knowledge of double-digit multiplication to help us understand multiplying decimals, starting with multiplying by 0.1 or 1/10 and then 0.01 or 1/100. We will then focus on the relationship between decimals and percentages, learning to find the percentage of a number and to read percents in a pie graph. We will continue our study of metric system conversions from Part 1 by changing smaller units to larger units, and "round out" the session learning to compute the area and circumference of a circle. Each week we will cover one topic over two days, following this pattern: 1) visual, interactive introduction using real world connections; 2) guided, group and individual practice; 3) review work, including previously mastered concepts such as operations with fractions so that understanding stays fresh and further connections can be made. (See below for the full weekly outline of topics).

I want my students to feel fully engaged in the learning process--to find meaning, confidence (and yes, even joy!) in mathematical problem solving. To make math fun and engaging, I will be presenting lessons through interactive slides, which will include clear visual representations, virtual manipulatives, and connections to math in the real world. Additionally, I will be using applications such as Nearpod (nearpod.com) to create further opportunities for students to engage with the material and with one another. Activities will include collaborative idea boards, typed or drawn responses, polls, matching games, quizzes and embedded games. These activities provide not only engagement and fun for students, but also give me as the teacher the opportunity for ongoing, informal assessment. 


First Day of Class : Introductions, ice breakers, general math, practice using Google Classroom and Nearpod
Week 1 (Lesson 9): Multiplying Parts of a Whole (Tenths): Connecting fractions, division and decimals
Day 1: Interactive Introduction to Multiplying by 0.1 (1/10)  through Visual Representation of Place Value/Practicing Multiplying by Tens vs. Tenths with Fractions, Place Value Notation and Decimal Notation
Day 2: Review Work & Word Problems: Subtracting Mixed Numbers

Week 2 (Lesson 10) : Multiplying Parts of a Whole (Hundredths): Connecting fractions, division and decimals
Day 1: Interactive Introduction to Multiplying Decimals by 0.01 (1/100) through Visual Representation of Place Value/Practicing Multiplying by Hundreds vs. Hundredths with Fractions, Place Value Notation and Decimal Notation
Day 2: Review Work & Word Problems: Multiplying Fractions 

Week 3 (Lesson 11): Finding a Percent of a Number
Day 1: Interactive Introduction to Percent as Another Way of Writing Hundredths through Visual Representation/Practicing Percents of a Number by Converting Percentage to Decimal (or Fraction) and Multiplying
Day 2: Review Work & Word Problems: Multiplying Mixed Numbers

Week 4 (Lesson 12): Finding a Percent Greater than 100%; Word Problems
Day 1: Interactive Introduction to Percents > 100% as Mixed Numbers Using Real World Examples/Using Percents greater than 100% to Solve Word Problems 
Day 2: Review Work & Word Problems: Dividing Fractions

Week 5 (Lesson 13) : Data and Graphs: Reading Percents in a Pie Graph
Day 1: Interactive Introduction to Interpreting Various Kinds of Graphs (Bar, Line, Picto, Circle) through Relatable Infographics/Practice Reading and Creating Real World Pie Graphs 
Day 2: Review Work & Word Problems: Dividing Mixed Numbers

Week 6 (Lesson 14): Using Estimation to work with and convert between decimals, fractions and percentages
Day 1: Interactive Introduction to Using Estimation and Counting Place Value Spots to Multiply Decimals/Practice Multiplying and converting Decimals using Estimation and Word Problems
Day 2: Review Work & Word Problems: More Dividing Fractions (using estimation)

Week 7 (Lesson 15): Geometry Part 1: Review of 2-D shapes and Finding Perimeter and Area
Day 1: Interactive Review: Identifying and Sorting 2D Shapes; Finding Perimeter and Area of Rectangles and Triangles/Practice Finding Perimeter and Area with fraction and decimal units
Day 2: Review Work & Word Problems: More Dividing Mixed Numbers (Multiplying by Reciprocal of Improper Fraction)

Week 8 (Lesson 16): Geometry Part 2: Circles! Computing Area and Circumference
Day 1: Interactive Introduction to Circles and Circle Terminology (Radius, Diameter, Circumference, Pi)/Computing the Area and Circumference of Circles Using Real World Examples
Day 2: Review Work & Word Problems: Perimeter